Modified Version of the Averaged Navier—Stokes Equations

Abstract

—A new explicit form of the Navier—Stokes equations is obtained by means of the Reynoldsaveraging of these equations within the framework of the generally accepted model of spectrum-averaged fluctuations. The equations thus obtained contain some new terms caused by density fluctuations, while certain their terms included earlier on the intuitive level are now physically validated. The equations of the k—ω model are derived using the method of moments. A new equation for the vortex fluctuations, written earlier on the intuitive and analogue level, is obtained from the general momentum equation.